Enriched asymptotically nonexpansive mappings with center zero-Reference-Cited by-同舟云学术

Enriched asymptotically nonexpansive mappings with center zero

Published:2024 Issue:1 Volume:38 Page:343-356
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Salisu Sani¹,Kumam Poom²,Sriwongsa Songpon²,Gopalc Dhananjay³

Affiliation:

1. Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL, Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand + Department of Mathematics, Faculty of Natural and Applied Sciences, Sule Lamido University Kafin Hausa, Jigawa, Nigeria

2. Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL, Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand

3. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, India

Abstract

In this article, a special mapping, the so-called enriched nonexpansive mapping with center zero and its asymptotic version are introduced and corresponding fixed point properties are investigated in the setting of complete normed spaces. Further, using approximate fixed point sequences, the fixed points of such mappings are analysed where Banach spaces have Kadec-Klee Property. Finally, a convexically enriched nonexpansive mapping is launched as a special case of the studied mappings.

Publisher

National Library of Serbia

Reference24 articles.

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